Inverse and direct theorems for best uniform approximation by polynomials

Shayne Waldron


It is shown that the standard method of obtaining direct (Jackson) theorems
for the order of best uniform approximation by algebraic polynomials from
those for trigonometric polynomials also provides inverse (Bernstein) theorems.

Bernstein theorem, inverse theorem, Jackson theorem, direct theorem, Ditzian-Totik moduli of smoothness

Math Review Classification
Primary G41A17, 41A25, 41A27 ; Secondary 30E10, 42A10

Last Updated
9 May 1997

5 pages

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